Hi
Don't know about the specifics of the STM32 toolchain. All of the other Eclipse based tool chains I have tried work fine on Windows 10 in the 64 bit flavor. I would be amazed if the same did not apply to the ST stuff. The only exception might be some chunk of proprietary this or that they dragged in to make it all work. Normally you don't have to do that with most of the ARM stuff.
What you do still run into on any version of OS are programming gizmos that go out of sync with the latest drivers. It's pervasive enough that you simply accept that any dongle can go out of date at any time. When they do, you either freeze things on the old drivers (and likely accept other problems) or you shell out for the new dongle. Whenever this sort of thing happens, there is always a lot of finger pointing. It's more common in the FPGA world than in MCU's.
Bob